低速流数值模拟的低耗散预处理格式

曹宁; 吴颂平

低速流数值模拟的低耗散预处理格式

曹宁^1,2,
吴颂平^1,2

1.
北京航空航天大学航空科学与工程学院,北京 100191
2.
国家计算流体力学实验室,北京 100191

计量
- 文章访问数: 1466
- HTML浏览量: 77
- PDF量: 19
- 被引次数: 0
出版历程
- 收稿日期: 2010-09-16
- 修回日期: 2010-11-30
- 刊出日期: 2011-03-28

Low-diffusion preconditioning scheme for numerical simulation of low-speed flows

CAO Ning^1,2,
WU Song-ping^1,2

1.
School of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics,Beijing 100191,China
2.
National Laboratory for Computational Fluid Dynamic,Beijing 100191,China

摘要

摘要: 在预处理Roe格式中加入可调参数,给出了一种低耗散预处理Roe格式,并分析了可调参数的取值规律.在极低速区,低耗散预处理Roe格式反应了流动的实际耗散;在与来流速度相近的区域,低耗散预处理Roe格式可以保证流场的稳定性.对低马赫数、低雷诺数定常圆柱绕流和低马赫数、高雷诺数NACA0012翼型绕流所做的数值实验,得到了比较满意的结果,表明这一改进对于低速流数值模拟是有效的.通过数值实验,发现计算格式的数值黏性对低速流动的计算结果有显著影响.
- 数值方法 /
- 定常流 /
- 圆柱绕流 /
- 预处理方法 /
- 翼型
Abstract: A low-diffusion preconditioning Roe scheme was proposed by using an adjustable parameter in preconditioning Roe scheme to control the numerical dissipation and the adjustable parameter value rules. The low-diffusion preconditioning Roe scheme reflected the real physical dissipation in the extremely low-speed zone. In the region similar to the inflow speed, low-diffusion preconditioning Roe scheme could ensure the stability of the flow field. The low Mach/low Reynolds number steady solutions of viscous flow passing a circular cylinder and the low Mach/high Reynolds number steady solutions of viscous flow passing NACA0012 were satisfied. Numerical results show the efficiency of the new scheme to simulate low Mach number flows.Numerical experiments show that the numerical dissipation of the scheme has a notable effect on low-speed flow numerical simulation with preconditioning method.
- numerical methods /
- steady flow /
- flow past a cylinder /

HTML

参考文献(12)

[1]	Darmofal D L,Schmid P J.The importance of eigenvectors for local preconditioners of the Euler equations[J].Journal of Computational Physics,1996,127(2):346-362.
[2]	Weiss J M,Simth W A.Preconditioning applied to variable and const density flows[J].AIAA Journal,1995,33(11):2050-2057.
[3]	Turkel E,Radespiel R,Kroll N.Assessment of preconditioning methods for multidimensional aerodynamics[J].Computers and Fluids,1997,26(6):613-634.
[4]	Turkel E.Preconditioned methods for solving the incompressible and low speed compressible equations [J].Journal of Computational Physics,1987,72(2):277-298.
[5]	Merkle C L,Sullivan J Y,Buelow P E,et al.Computation of flow with arbitrary equations of state[J].AIAA Journal,1998,36(4):515-521.
[6]	Choi D,Merkle C L.Application of time-iterative schemes to incompressible flow[J].AIAA Journal,1985,28(10):1518-1524.
[7]	Lee S H.Convergence characteristics of preconditioned euler equations[J].Journal of Computational Physics,2005,208(1):266-288.
[8]	Venkateswaran S,Li D,Merkle C L.Influence of stagnation regions on preconditioned solutions at low speeds .AIAA 2003-435,2003.
[9]	Yoon S,Jameson A.Lower-upper symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations[J].AIAA Journal,1988,26(9):1025-1026.
[10]	李雪松,徐建中,顾春伟.预处理方法与大涡模拟工程应用[J].中国科学:物理学力学天文学,2009,39(1):83-90. LI Xuesong,XU Jianzhong,GU Chunwei.Preconditioning method on the application of LES[J].Science China Physics,Mechanics & Astronomy,2009,39(1):83-90.(in Chinese)
[11]	Fornberg B.A numerical study of steady viscous flow past a circular cylinder[J].Journal of Fluid Mechanics,1980,98(4):819-855.
[12]	Ladson C.Effects of independent variation of Mach and Reynolds numbers on the low-speed aerodynamic characteristics of the NACA0012 airfoil section .NASA Technical Memorandum 4074,1988.